Least Common Multiple (LCM) of 160 and 131
The least common multiple (LCM) of 160 and 131 is 20960.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 160 and 131?
First, calculate the GCD of 160 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 131 = 1 remainder 29 |
| 2 | 131 ÷ 29 = 4 remainder 15 |
| 3 | 29 ÷ 15 = 1 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 146 | 10366 |
| 174 and 100 | 8700 |
| 91 and 65 | 455 |
| 26 and 28 | 364 |
| 22 and 170 | 1870 |